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344401102143 = 32719911315829
BaseRepresentation
bin1010000001011111110…
…01111100010100111111
31012220221220102201101200
411000233321330110333
521120313140232033
6422114330510543
733611403031620
oct5005771742477
91186856381350
10344401102143
1112307249753a
12568b7295453
132662793ba07
1412952033a47
158e5a74b013
hex502fe7c53f

344401102143 has 48 divisors (see below), whose sum is σ = 599116876800. Its totient is φ = 186237455040.

The previous prime is 344401102093. The next prime is 344401102147. The reversal of 344401102143 is 341201104443.

344401102143 is a `hidden beast` number, since 3 + 4 + 440 + 1 + 1 + 0 + 214 + 3 = 666.

It is not a de Polignac number, because 344401102143 - 28 = 344401101887 is a prime.

It is a super-2 number, since 2×3444011021432 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344401102147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932553 + ... + 1248381.

It is an arithmetic number, because the mean of its divisors is an integer number (12481601600).

Almost surely, 2344401102143 is an apocalyptic number.

344401102143 is a deficient number, since it is larger than the sum of its proper divisors (254715774657).

344401102143 is a wasteful number, since it uses less digits than its factorization.

344401102143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316772 (or 316769 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 344401102143 its reverse (341201104443), we get a palindrome (685602206586).

The spelling of 344401102143 in words is "three hundred forty-four billion, four hundred one million, one hundred two thousand, one hundred forty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 911 1197 2733 6377 8199 17309 19131 51927 57393 121163 155781 315829 363489 947487 1090467 2210803 2842461 6000751 6632409 18002253 19897227 42005257 54006759 126015771 287720219 378047313 863160657 2014041533 2589481971 5466684161 6042124599 16400052483 18126373797 38266789127 49200157449 114800367381 344401102143